2664754560 has 384 divisors, whose sum is σ = 10436680800. Its totient is φ = 621084672.

The previous prime is 2664754553. The next prime is 2664754577. The reversal of 2664754560 is 654574662.

2664754560 is a `hidden beast` number, since 2 + 6 + 6 + 47 + 545 + 60 = 666.

2664754560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421784 + ... + 1423656.

Almost surely, 2^2664754560 is an apocalyptic number.

2664754560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218340400).

2664754560 is an abundant number, since it is smaller than the sum of its proper divisors (7771926240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2664754560 is a wasteful number, since it uses less digits than its factorization.

2664754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2664754560 is about 51621.2607362509. The cubic root of 2664754560 is about 1386.3910242711.

The spelling of 2664754560 in words is "two billion, six hundred sixty-four million, seven hundred fifty-four thousand, five hundred sixty".